Gordon Function
المؤلف:
Morse, P. M. and Feshbach, H
المصدر:
Methods of Theoretical Physics, Part I. New York: McGraw-Hill
الجزء والصفحة:
...
9-6-2019
1759
Gordon Function
Another name for the confluent hypergeometric function of the second kind, defined by
{(Gamma(1-c))/(Gamma(1-a))[e^(-pic)+(sin[pi(a-c)])/(sin(pia))]×_1F_1(a;c;z)-2(Gamma(c-1))/(Gamma(c-a))z^(1-c)_1F_1(a-c+1;2-c;z)}, " src="http://mathworld.wolfram.com/images/equations/GordonFunction/NumberedEquation1.gif" style="height:80px; width:350px" /> |
where
is the gamma function and
is the confluent hypergeometric function of the first kind.
REFERENCES:
Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 671-672, 1953.
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